The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990.

YearFuel Use
0130.8
3137.3
6147.4
9161.4
12168.7
15174.8
18170.8


Let F(t)\displaystyle {F}{\left({t}\right)} be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is F(t)=0.114t2+4.62t+127.598\displaystyle {F}{\left({t}\right)}=-{0.114}{t}^{{2}}+{4.62}{t}+{127.598}.

369121518125130135140145150155160165170175

Use the above scatter plot to decide whether the quadratic model fits the data well.
Estimate the fuel consumption in the U. S. in 2013. billions of gallons.
Use the model to predict the year in which U.S. fuel consumption will peak.